Two decks of playing cards are well shuffled and 26 cards are randomly

1.	Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is(a) 52C26 \| 104C26 (b) 2 × 52C26 \| 104C26 (c) 213 × 52C26 \| 104C26 (d) 226 × 52C26 \| 104C26
Answer» (d) 2²⁶ × ⁵²C₂₆ \| ¹⁰⁴C₂₆ Since there are 52 distinct cards in a deck and each distinct card is 2 in number. ∴2 decks will also contain only 52 distinct cards, two each. ∴ Probability that the player gets all distinct cards = \(\frac{^{52}C_{26}\times2^{26}}{^{104}C_{26}}\).

Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is(a) 52C26 | 104C26 (b) 2 × 52C26 | 104C26 (c) 213 × 52C26 | 104C26 (d) 226 × 52C26 | 104C26

Answer»

(d) 2²⁶ × ⁵²C₂₆ | ¹⁰⁴C₂₆

Since there are 52 distinct cards in a deck and each distinct card is 2 in number.

∴2 decks will also contain only 52 distinct cards, two each.

∴ Probability that the player gets all distinct cards = \(\frac{^{52}C_{26}\times2^{26}}{^{104}C_{26}}\).

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Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is(a) 52C26 | 104C26 (b) 2 × 52C26 | 104C26 (c) 213 × 52C26 | 104C26 (d) 226 × 52C26 | 104C26

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